The unsteady flow of H2O saturated by tiny nanosized particles with various shapes (platelets, blades, cylinders, and bricks) over a thin slit is reported. For this novel analysis, the influences of the magnetic field and heat generation/absorption are incorporated into the governing model. The dimensionless nanofluid model is attained after the successful implementation of similarity transformations. Then, Runge-Kutta and homotopy analysis algorithms are implemented for mathematical analysis, and the results are obtained by varying the main flow parameters. A decrease in nanofluid motion is observed for a stronger magnetic field (M). Additionally, nanofluid temperature β(η) increases for higher values of M. Decreasing trends in the shear stresses Rex0.5CFx are observed for the unsteadiness parameter S, and this declines with stronger M. Similarly, the local heat transfer rate Rex-0.5Nux rises with the unsteady behavior of the fluid. It is observed that the nanofluid motion drops for variable thickness ( λ ) of the slit, whereas the motion becomes slower with stronger magnetic field effects (M).
Keywords: HAM; RK scheme; heat transfer; nanoparticles; shear stresses; thermal conductivity.